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math.LO2004
Diamond (on the regulars) can fail at any strongly unfoldable cardinal
Joel David Hamkins, Mirna Džamonja
If kappa is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which Diamond_kappa(REG) fails. This result continues the progression of the correspo…
math.LO2004
The Necessary Maximality Principle for c.c.c. forcing is equiconsistent with a weakly compact cardinal
Joel David Hamkins, W. Hugh Woodin
The Necessary Maximality Principle for c.c.c. forcing asserts that any statement about a real in a c.c.c. extension that could become true in a further c.c.c. extension and remain…